12420/6=x2

Solution for 12420/6=x2 equation:

12420/6=x2

We move all terms to the left:

12420/6-(x2)=0

We add all the numbers together, and all the variables

-1x^2+2070=0

a = -1; b = 0; c = +2070;
Δ = b2-4ac
Δ = 02-4·(-1)·2070
Δ = 8280
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{8280}=\sqrt{36*230}=\sqrt{36}*\sqrt{230}=6\sqrt{230}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{230}}{2*-1}=\frac{0-6\sqrt{230}}{-2}
=-\frac{6\sqrt{230}}{-2}
=-\frac{3\sqrt{230}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{230}}{2*-1}=\frac{0+6\sqrt{230}}{-2}
=\frac{6\sqrt{230}}{-2}
=\frac{3\sqrt{230}}{-1}
$